非hopfian群作为相对双曲群的直接极限的构造

Int. J. Algebra Comput. Pub Date : 2022-02-11 DOI:10.1142/s0218196722500229

Jan Kim, Donghi Lee

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引用次数: 0

摘要

本文构造了具有显式表示的两类有限生成非hopfian群族，其中第一类满足小消去条件[公式:见文]和[公式:见文]，并将这两类群分别解释为相对双曲群和普通双曲群的直接极限。

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Construction of non-Hopfian groups as direct limits of relatively hyperbolic groups

In this paper, we construct a family of two types of finitely generated non-Hopfian groups with explicit presentations, where the first type satisfies small cancellation conditions [Formula: see text] and [Formula: see text], and interpret these groups as direct limits of relatively hyperbolic groups and ordinary hyperbolic groups, respectively.

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Int. J. Algebra Comput.

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